Magnetic field effect for two electrons in a two-dimensional random potential

We study the problem of two particles with Coulomb repulsion in a two-dimensional disordered potential in the presence of a magnetic field. For the regime when without interaction all states are well localized, it is shown that above a critical excitation energy electron pairs become delocalized by interaction. The transition between the localized and delocalized regimes is similar to the metal-insulator transition at the mobility edge in the three-dimensional Anderson model with broken time reversal symmetry.